Intermediate November 2021 Unit 2 Q14
14. Calculate the length of the side AB in the triangle shown below. [3]

Diagram not drawn to scale
| Scheme | Marks | Comments |
|---|---|---|
| (AB =) 13·8 × cos 41 OR 13·8 × sin 49 | M2 | M1 for \(\cos 41 = \dfrac{\text{AB}}{13{\cdot}8}\) OR \(\sin 49 = \dfrac{\text{AB}}{13{\cdot}8}\) |
| = 10·4(…) (cm) | A1 |
Alternative method:
| Scheme | Marks | Comments |
|---|---|---|
| Correct use of ‘two-step’ method. | M2 | A partial trigonometric method is M0. |
| (AB) = 10·4(…)(cm) | A1 | Accept an answer that rounds to 10·4(cm) |